Question

When a sound wave of frequency $300Hz$ pssses through a medium the maximum displacement of the medium is $0.1cm$. The maximum velocity of the particle is equal to

• A. $60\pi cm/sec$
• B. $30\pi cm/sec$
• C. $30cm/sec$
• D. $60cm/sec$

Answer 1

Answer: (A)

$60\pi cm/sec$

Given,

$a=0.1cm$ amplitude

$f=300Hz$ frequency

The maximum velocity of the particle is given by

$V_{max}=a\omega =a\left(2\pi f\right)$

$V_{max}=0.1\times 2\times 300\pi$

$V_{max}=60\pi cm/sec$

The correct option is A.